# How do you find the derivative of #s=(2t+1)(3t-2)#?

##### 2 Answers

Jun 1, 2017

Answer:

#### Explanation:

Differentiate

Consider the product rule:

So, we have that:

Jun 2, 2017

#### Explanation:

The other answer is completely valid, I just thought I would show the other method of differentiation in this case.

First, use the FOIL method (from all the way back in Algebra 1) to expand the polynomial.

#s = (2t+1)(3t-2)#

#s = 6t^2 - 4t +3t - 2#

#s = 6t^2 - t - 2#

Now, differentiate using power rule. No product rule required!

#(ds)/dt = 12t - 1#

*Final Answer*